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A187683
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Rank transform of the sequence floor(2n/3); complement of A187683.
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3
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1, 2, 4, 5, 7, 8, 9, 11, 13, 14, 15, 17, 18, 20, 22, 23, 24, 26, 27, 28, 30, 31, 33, 35, 36, 37, 39, 40, 42, 43, 44, 46, 47, 48, 50, 52, 53, 55, 56, 57, 59, 61, 62, 64, 65, 66, 68, 70, 71, 72, 74, 75, 76, 78, 79, 81, 83, 84, 85, 87, 88, 90, 91, 92, 94, 96, 97, 99, 100, 101, 103, 105, 106, 108, 109, 110, 112, 113, 114, 116, 118, 119, 120, 122, 123, 125, 127, 128, 129, 131, 132, 133, 135, 136, 138
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OFFSET
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1,2
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COMMENTS
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LINKS
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MATHEMATICA
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seqA = Table[Floor[2n/3], {n, 1, 220}]
seqB = Table[n, {n, 1, 220}]; (*A000027*)
jointRank[{seqA_,
seqB_}] := {Flatten@Position[#1, {_, 1}],
Flatten@Position[#1, {_, 2}]} &[
Sort@Flatten[{{#1, 1} & /@ seqA, {#1, 2} & /@ seqB}, 1]];
limseqU =
FixedPoint[jointRank[{seqA, #1[[1]]}] &,
jointRank[{seqA, seqB}]][[1]] (*A187683*)
Complement[Range[Length[seqA]], limseqU] (*A187684*)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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